Entropy

Introduction Entropy is one of those rare concepts that appears in multiple scientific disciplines, each time carrying a slightly different flavor yet retaining a common underlying intuition: the measure of disorder, uncertainty, or the number of ways a system can be arranged without changing its observable macroscopic state. From the steam engines that powered the Industrial Revolution to the bits that travel across the internet, entropy provides a unifying language that bridges physics, chemistry, biology, computer science, and even economics. ...

Introduction Random numbers are the invisible glue that holds together many of the security guarantees we rely on every day. From establishing encrypted TLS sessions to generating cryptocurrency private keys, the quality of a random number generator (RNG) can be the difference between a system that is provably secure and one that is trivially broken. While “random” may sound informal, in cryptography it carries a very precise meaning: the output must be unpredictable, uniformly distributed, and indistinguishable from true randomness to any feasible adversary. Achieving these properties is far from trivial. A strong random generator must combine high‑entropy sources, robust mixing algorithms, and careful operational practices. ...